English

Finite W Algebras and Intermediate Statistics

High Energy Physics - Theory 2009-10-28 v1

Abstract

New realizations of finite W algebras are constructed by relaxing the usual constraint conditions. Then, finite W algebras are recognized in the Heisenberg quantization recently proposed by Leinaas and Myrheim, for a system of two identical particles in d dimensions. As the anyonic parameter is directly associated to the W-algebra involved in the d=1 case, it is natural to consider that the W-algebra framework is well-adapted for a possible generalization of the anyon statistics.

Keywords

Cite

@article{arxiv.hep-th/9410114,
  title  = {Finite W Algebras and Intermediate Statistics},
  author = {F. Barbarin and E. Ragoucy and P. Sorba},
  journal= {arXiv preprint arXiv:hep-th/9410114},
  year   = {2009}
}

Comments

16 pp., Latex, Preprint ENSLAPP-489/94

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